Shear thinning of unentangled flexible polymer liquids

被引:0
|
作者
R. H. Colby
D. C. Boris
W. E. Krause
S. Dou
机构
[1] Pennsylvania State University,Department of Materials Science and Engineering
[2] Eastman Kodak Company,Research Laboratories
[3] North Carolina State University,Department of Textile Engineering, Chemistry and Science
来源
Rheologica Acta | 2007年 / 46卷
关键词
Shear flow; Cox–Merz rule; Polymer solution; Rouse theory; Apparent viscosity; Polymer melt;
D O I
暂无
中图分类号
学科分类号
摘要
Experimentally, it is well-known that the Rouse model gives a superb description of the concentration dependence of terminal relaxation time, terminal modulus, zero shear-rate viscosity, and diffusion coefficient of semidilute unentangled polyelectrolyte solutions. However, such solutions exhibit shear thinning of the apparent viscosity when the shear rate exceeds the reciprocal of the terminal relaxation time, which is not immediately anticipated by the Rouse model. We present a simple calculation based on the Rouse model for the dependence of the apparent viscosity η on shear rate \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\dot{\gamma}$\end{document} in steady shear. The derived power law \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\eta \sim \dot{\gamma}^{-1/2}$\end{document} applies to nearly mono- disperse unentangled polymer melts and polymer solutions that have a high enough concentration so that chains overlap, but have low enough concentration that they are not entangled. We find that the predicted power law agrees nicely with data on unentangled polymer melts and semidilute unentangled solutions of polyelectrolytes. The exponent 1/2 means the empirical Cox-Merz rule applies to Rouse chains. This potentially has far-reaching consequences for entangled polymer melts, for which motion of a Rouse chain confined to a tube describes dynamics.
引用
收藏
页码:569 / 575
页数:6
相关论文
共 50 条
  • [41] Determination of the shear and extensional rheology of bubbly liquids with a shear-thinning continuous phase
    Torres, Maria D.
    Hallmark, Bart
    Wilson, D. Ian
    RHEOLOGICA ACTA, 2015, 54 (06) : 461 - 478
  • [42] SURFACE TEMPERATURE AND HEAT TRANSFER CONDITIONS IN ABLATION OF SHEAR THINNING AND SHEAR THICKENING LIQUIDS
    STEVERDING, B
    JOURNAL OF HEAT TRANSFER, 1969, 91 (01): : 105 - +
  • [43] Emptying of gravure cavities containing shear-thinning and shear-thickening liquids
    Wu, Jyun-Ting
    Carvalho, Marcio S.
    Kumar, Satish
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2019, 268 : 46 - 55
  • [44] Shear thinning and polymer deformation in large flow fields
    Ganazzoli, F
    Tacconelli, A
    MACROMOLECULAR THEORY AND SIMULATIONS, 1998, 7 (01) : 79 - 90
  • [45] A note on settling in shear-thinning polymer solutions
    Navez, V
    Walters, K
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1996, 67 : 325 - 334
  • [46] Mesoscale modeling of shear-thinning polymer solutions
    Santos de Oliveira, I. S.
    Fitzgerald, B. W.
    den Otter, W. K.
    Briels, W. J.
    JOURNAL OF CHEMICAL PHYSICS, 2014, 140 (10):
  • [47] Study of Permanent Shear Thinning of VM Polymer Solutions
    Marx, N.
    Ponjavic, A.
    Taylor, R. I.
    Spikes, H. A.
    TRIBOLOGY LETTERS, 2017, 65 (03)
  • [48] In situ study of polymer behaviour during shear thinning
    Dench, Jonathan
    Marx, Nigel
    Morgan, Neal
    Wong, Janet
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2016, 252
  • [49] Note on settling in shear-thinning polymer solutions
    Navez, V.
    Walters, K.
    Journal of Non-Newtonian Fluid Mechanics, 1996, 67 : 325 - 334
  • [50] Study of Permanent Shear Thinning of VM Polymer Solutions
    N. Marx
    A. Ponjavic
    R. I. Taylor
    H. A. Spikes
    Tribology Letters, 2017, 65